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Finding the Third Proportional to 91,737.75 and 129,186.38

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Solution

The third proportional to 91,737.75 and 129,186.38 is: 181,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737.75 : 129,186.38 = 129,186.38 : x
  2. Step 2: Convert to fraction form
    91,737.75/129,186.38 = 129,186.38/x
  3. Step 3: Cross multiply
    91,737.75x = 129,186.38 × 129,186.38
  4. Step 4: Simplify right side
    91,737.75x = 16,689,119,485.64
  5. Step 5: Solve for x
    x = 16,689,119,485.64/91,737.75
  6. Step 6: Final answer
    x = 181,922.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.